101200960 has 56 divisors (see below), whose sum is σ = 275417280. Its totient is φ = 34696704.

The previous prime is 101200951. The next prime is 101200969. The reversal of 101200960 is 69002101.

It is an interprime number because it is at equal distance from previous prime (101200951) and next prime (101200969).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (101200969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20350 + ... + 24829.

Almost surely, 2^101200960 is an apocalyptic number.

101200960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200960 is an abundant number, since it is smaller than the sum of its proper divisors (174216320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101200960 is an equidigital number, since it uses as much as digits as its factorization.

101200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45203 (or 45193 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 101200960 is about 10059.8687864206. The cubic root of 101200960 is about 466.0096150091.

The spelling of 101200960 in words is "one hundred one million, two hundred thousand, nine hundred sixty".